Problem 2 Consider the Lagrangian L = m (5² - 2xy + 2y²) + 2x - y. a) Show that this Lagrangian is invariant under: dr = e, dy = 2€. b) Determine the Noether conserved quantity.
Problem 2 Consider the Lagrangian L = m (5² - 2xy + 2y²) + 2x - y. a) Show that this Lagrangian is invariant under: dr = e, dy = 2€. b) Determine the Noether conserved quantity.
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![Problem 2
Consider the Lagrangian L = m (5x² – 2¢ý +2ÿ²) + 2x - y.
a) Show that this Lagrangian is invariant under: dr = e, dy = 2€.
b) Determine the Noether conserved quantity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b14686d-2f81-45af-b686-e68dfb141b45%2Fb2ce566c-2d19-459b-aaee-03554dff9bda%2F2aocwc9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2
Consider the Lagrangian L = m (5x² – 2¢ý +2ÿ²) + 2x - y.
a) Show that this Lagrangian is invariant under: dr = e, dy = 2€.
b) Determine the Noether conserved quantity.
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